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What are the solutions to the simultaneous equation 3x plus 2y equals 5 and x plus 2y equals 7?
- 3x + 2y = 5
- x + 2y = 7
3x - x + 2y - 2y = 5 - 7
→ 2x = -2
→ x = -1
Substitute for x in (1)
3(-1) + 2y = 5
→ -3 + 2y = 5
→ 2y = 8
→ y = 4
Substitute for x and y in (2) to check answer:
x + 2y = -1 +2(4) = -1 + 8 = 7 as required. Thus:
x = -1
y = 4
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1
